A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation
From MaRDI portal
Publication:831114
DOI10.1016/j.jfa.2021.109069zbMath1471.35278OpenAlexW3157616882MaRDI QIDQ831114
Publication date: 10 May 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109069
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for higher-order parabolic systems (35K52)
Related Items
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision, Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System, Global existence and boundedness of solutions to a two-species chemotaxis-competition system with singular sensitivity and indirect signal production, Global solutions near homogeneous steady states in a fully cross-diffusive predator-prey system with density-dependent motion, Boundedness of solutions in a predator-prey system with density-dependent motilities and indirect pursuit-evasion interaction, Global and bounded solution to a quasilinear parabolic-elliptic pursuit-evasion system in \(N\)-dimensional domains, Some progress for global existence and boundedness in a multi-dimensional parabolic-elliptic two-species chemotaxis system with indirect pursuit-evasion interaction, Boundedness of solutions to a fully parabolic indirect pursuit-evasion predator-prey system with density-dependent diffusion in \(\mathbb{R}^2\), On a quasilinear fully parabolic predator-prey model with indirect pursuit-evasion interaction, Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity, The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model, Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis, An interpolation inequality involving LlogL$L\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system, Dynamics in two-predator and one-prey models with signal-dependent motility, Pursuit-evasion dynamics for Bazykin-type predator-prey model with indirect predator taxis, Global existence and asymptotic behavior for a fully cross-diffusive predator-prey model, Global boundedness of a diffusive prey-predator model with indirect prey-taxis and predator-taxis, Global existence and convergence to steady states for a predator-prey model with both predator- and prey-taxis, Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction, Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension, Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity, Boundedness and global stability of the predator-prey model with prey-taxis and competition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Well-posedness for a class of thin-film equations with general mobility in the regime of partial wetting
- A coupled chemotaxis-fluid model: global existence
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Initiation of slime mold aggregation viewed as an instability
- On convergence to equilibria for the Keller-Segel chemotaxis model
- Higher order nonlinear degenerate parabolic equations
- An initial-boundary-value problem for a certain density-dependent diffusion system
- Compact sets in the space \(L^ p(0,T;B)\)
- Global existence analysis of cross-diffusion population systems for multiple species
- Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Measure valued solutions of the 2D Keller-Segel system
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Self-organized populations interacting under pursuit-evasion dynamics
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system
- Analysis of a parabolic cross-diffusion population model without self-diffusion
- A Minimal Model of Pursuit-Evasion in a Predator-Prey System
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- Random walk with persistence and external bias
- Existence of Solutions for the Keller–Segel Model of Chemotaxis with Measures as Initial Data
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Grow-Up Rate and Refined Asymptotics for a Two-Dimensional Patlak–Keller–Segel Model in a Disk
- On the Entropic Structure of Reaction-Cross Diffusion Systems
- Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
- Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- The Debye system: existence and large time behavior of solutions
- Blowup in Reaction-Diffusion Systems with Dissipation Of Mass
- Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis
- Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
- Solutions of the One-Dimensional Porous Medium Equation are Determined by Their Free Boundary
- Droplet spreading: Intermediate scaling law by PDE methods
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Theory of the Flow of Electrons and Holes in Germanium and Other Semiconductors